idx int64 0 218 | prompt stringlengths 1.24k 11.8k | answers sequencelengths 32 32 | gt stringlengths 1 119 | true_reward bool 1
class | rewards sequencelengths 32 32 |
|---|---|---|---|---|---|
159 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
A shopping m... | [
"The probability calculated earlier was incorrect. Let's correct the reasoning and calculation step-by-step:\n\n1. Calculate the total number of possible outcomes: The number of ways to choose 6 numbers from 10 is given by \\(\\binom{10}{6}\\).\n2. Calculate the number of favorable outcomes: The participant can hav... | \frac{5}{42} | false | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false,
true,
false,
false,
false,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] |
62 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
Consider the... | [
"Let's correct the mistake and verify the minimum number of dots to be deleted.\n\n1. **Center Dot of the \\(3 \\times 3\\) Square**: Deleting the center dot of the \\(3 \\times 3\\) square ensures that this square is missing one vertex.\n2. **Remaining \\(2 \\times 2\\) Squares**: Each of the remaining \\(2 \\time... | 4 | false | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
false
] |
175 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
Express $32,... | [
"After revisiting our steps and identifying the mistake in the decimal placement, we correct our solution:\n\n1. Correct Decimal Placement: The correct placement of the decimal point after the first significant digit in $32,100,000$ is $3.21$.\n\n2. Correct Counting of Decimal Places: Moving the decimal point 7 pla... | 3.21 \times 10^{7} | false | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
false,
false,
true,
false,
true,
true,
true,
false,
false,
false,
true,
true,
false,
true,
false,
true,
true,
true,
true,
true
] |
193 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's correct the mistake and revise the reasoning path. The maximum possible value of \\(b\\) was(...TRUNCATED) | 9 | false | [false,true,false,true,false,false,true,false,true,true,false,true,false,true,false,false,false,fals(...TRUNCATED) |
129 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To correct the mistake, we need to find the smallest positive integer \\( n \\) such that \\( n(n+(...TRUNCATED) | 67 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
62 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["The mistake in the previous reasoning was in the calculation of the required average speed for the(...TRUNCATED) | 15 | false | [true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,true(...TRUNCATED) |
105 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To find the minimum value of the expression \\((x + y)(y + 3z)(2xz + 1)\\) given that \\(xyz = 2\\(...TRUNCATED) | 16 \sqrt{6} | false | [false,false,false,false,false,false,false,false,false,false,true,false,false,false,false,false,fals(...TRUNCATED) |
80 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["For a regular equilateral triangle with side length \\( \\sqrt{3} \\), the area \\( A \\) can be c(...TRUNCATED) | 3\sqrt{3} | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
117 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's re-evaluate the problem carefully and correct any mistakes in the previous reasoning.\n\nThe(...TRUNCATED) | 79 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
130 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To verify and correct the mistake in the reasoning, let's re-solve the equation step by step using(...TRUNCATED) | -\frac{16}{7} | false | [false,false,false,false,true,false,false,false,false,false,false,false,false,false,false,false,fals(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 3